Question

Zera has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125. Estimate the number of months that Zera can continue this pattern until she reaches her limit?

Answer 1

Answer: 80/3 months

Explanation:

Let x be the number of months until Zera reaches her limit.

Then on month x, her charges are 200x, and her payments are 125x.

This leaves her with 200x - 125x = 75x dollars owed.

we need to see when this equals 2000, so she hits her limit:

2000 = 75x

.: x = 2000/75 = 80/3

She can continue her pattern for 80/3 months, (≈26.666667)